Under the Fairy Upgrades code I found the there is an error in the order of upgrades given. You can actually get Biggest Wallet as the third upgrade item.

If you visit the 4 Fairy Locations, that do not require the Skull Hammer before you enter the Tower of the Gods you will be given upgrades in the following order:

1. Bigger Wallet: holds 1,000 rupees 2. More Bombs: 60 3. More Bombs: 99 4. Biggest Wallet: holds 5000 rupees

You will skip the Arrow upgrades and immediatly jump to getting more bombs and the Biggest Wallet.